0.4(2z+6)+7.2=0.6(2z-4)

Solution for 0.4(2z+6)+7.2=0.6(2z-4) equation:

Simplifying
0.4(2z + 6) + 7.2 = 0.6(2z + -4)

Reorder the terms:
0.4(6 + 2z) + 7.2 = 0.6(2z + -4)
(6 * 0.4 + 2z * 0.4) + 7.2 = 0.6(2z + -4)
(2.4 + 0.8z) + 7.2 = 0.6(2z + -4)

Reorder the terms:
2.4 + 7.2 + 0.8z = 0.6(2z + -4)

Combine like terms: 2.4 + 7.2 = 9.6
9.6 + 0.8z = 0.6(2z + -4)

Reorder the terms:
9.6 + 0.8z = 0.6(-4 + 2z)
9.6 + 0.8z = (-4 * 0.6 + 2z * 0.6)
9.6 + 0.8z = (-2.4 + 1.2z)

Solving
9.6 + 0.8z = -2.4 + 1.2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-1.2z' to each side of the equation.
9.6 + 0.8z + -1.2z = -2.4 + 1.2z + -1.2z

Combine like terms: 0.8z + -1.2z = -0.4z
9.6 + -0.4z = -2.4 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
9.6 + -0.4z = -2.4 + 0.0
9.6 + -0.4z = -2.4

Add '-9.6' to each side of the equation.
9.6 + -9.6 + -0.4z = -2.4 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + -0.4z = -2.4 + -9.6
-0.4z = -2.4 + -9.6

Combine like terms: -2.4 + -9.6 = -12
-0.4z = -12

Divide each side by '-0.4'.
z = 30

Simplifying
z = 30